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Simplifying 0 = 0.003x2 + -0.16x + 40 Reorder the terms: 0 = 40 + -0.16x + 0.003x2 Solving 0 = 40 + -0.16x + 0.003x2 Solving for variable 'x'. Combine like terms: 0 + -40 = -40 -40 + 0.16x + -0.003x2 = 40 + -0.16x + 0.003x2 + -40 + 0.16x + -0.003x2 Reorder the terms: -40 + 0.16x + -0.003x2 = 40 + -40 + -0.16x + 0.16x + 0.003x2 + -0.003x2 Combine like terms: 40 + -40 = 0 -40 + 0.16x + -0.003x2 = 0 + -0.16x + 0.16x + 0.003x2 + -0.003x2 -40 + 0.16x + -0.003x2 = -0.16x + 0.16x + 0.003x2 + -0.003x2 Combine like terms: -0.16x + 0.16x = 0.00 -40 + 0.16x + -0.003x2 = 0.00 + 0.003x2 + -0.003x2 -40 + 0.16x + -0.003x2 = 0.003x2 + -0.003x2 Combine like terms: 0.003x2 + -0.003x2 = 0.000 -40 + 0.16x + -0.003x2 = 0.000 Begin completing the square. Divide all terms by -0.003 the coefficient of the squared term: Divide each side by '-0.003'. 13333.33333 + -53.33333333x + x2 = 0 Move the constant term to the right: Add '-13333.33333' to each side of the equation. 13333.33333 + -53.33333333x + -13333.33333 + x2 = 0 + -13333.33333 Reorder the terms: 13333.33333 + -13333.33333 + -53.33333333x + x2 = 0 + -13333.33333 Combine like terms: 13333.33333 + -13333.33333 = 0.00000 0.00000 + -53.33333333x + x2 = 0 + -13333.33333 -53.33333333x + x2 = 0 + -13333.33333 Combine like terms: 0 + -13333.33333 = -13333.33333 -53.33333333x + x2 = -13333.33333 The x term is -53.33333333x. Take half its coefficient (-26.66666667). Square it (711.1111113) and add it to both sides. Add '711.1111113' to each side of the equation. -53.33333333x + 711.1111113 + x2 = -13333.33333 + 711.1111113 Reorder the terms: 711.1111113 + -53.33333333x + x2 = -13333.33333 + 711.1111113 Combine like terms: -13333.33333 + 711.1111113 = -12622.2222187 711.1111113 + -53.33333333x + x2 = -12622.2222187 Factor a perfect square on the left side: (x + -26.66666667)(x + -26.66666667) = -12622.2222187 Can't calculate square root of the right side. The solution to this equation could not be determined.
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